Answer: t= Distance/Speed = 4/28= 1/7
Step-by-step explanation:
Speed is 28miles /hr
Distance = 4miles
Distance = Speed × time
Time(t) = Distance /Speed
Looks like the starting series is

Note the degree of the first few terms in the series, for
, are
, and so on.
So if the series were to start at
, we would need to preserve that pattern, and we do that by replacing
with
:

Simplifying a bit, we end up with

Subtract 200.90 from 1368.80 then divide the answer by 77.86 ; it would take 15 weeks
Answer:
0.082
Step-by-step explanation:
Number of attempts = n = 100
Since there are only two outcomes and in-dependent of each other, the probability of missing a shot = 1 - Probability of making each shot
p = 1 - 0.95 = 0.05
Possion Ratio (λ) = np where n is the number of events and p is the probability of the shot missing
λ = 100 x 0.05 = 5
Define X such that X = Number of misses and X ≅ Poisson (λ = 5)
P [X ≤ 2] = P [X = 0] + P [X = 1] + P [X = 2]
P [X ≤ 2] = e⁻⁵ + e⁻⁵ x 5 + e⁻⁵ x 5²/2!
P [X ≤ 2] = e⁻⁵ [1 + 5 + 5²/2!]
P [X ≤ 2] = e⁻⁵ x 12.25 = 0.082
The required probability that there are at most 2 misses in the first 100 attempts is 0.082